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Finding the Fourth Proportional to 9,976.70, 13,772.76 and 6,441.86

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Solution

The fourth proportional to 9,976.70, 13,772.76 and 6,441.86 is: 8,892.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.70 : 13,772.76 = 6,441.86 : x
  2. Step 2: Convert to fraction form
    9,976.70/13,772.76 = 6,441.86/x
  3. Step 3: Cross multiply
    9,976.70x = 13,772.76 × 6,441.86
  4. Step 4: Simplify right side
    9,976.70x = 88,722,191.73
  5. Step 5: Solve for x
    x = 88,722,191.73/9,976.70
  6. Step 6: Final answer
    x = 8,892.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.